In this lecture, we will develop classic harmonic analysis tools for partial differential equations. The topics are:
- Fourier Transformations, Fourier Series
- Oscillatory integrals
- Singular integrals
- Hardy-Littlewood maximal functions
- Calderon-Zygmund theory
- Littlewood-Paley theory
- Hardy and BMO spaces
This lecture is a continuation of a standard introductory course in partial differential equations. Necessary basic knowlege of partial differential equations can be also be acquired during the semester. |
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